Question

Using Desmos.com or the Pythagorean Theorem find the distance between points A and B rounded to the nearest tenth.

A. 74


B. 8.6


C. 7.5


D. 5.2

Answer 1

B. 8.6

Explanation:

Given:

Draw a right angled triangle ABC as as shown below.

From the triangle
`\Delta ABC`,

Calculate the number of units from A to C and from C to B, we get

AC = 7 units and BC = 5 units.

Now using Pythagorean Theorem,

`AB^(2)=BC^(2)+AC^(2)\\AB^(2)=(7)^(2)+(5)^(2)\\AB^(2)=49+25\\AB^(2)=74`

Taking square root on both sides, we get

`\sqrt{AB^(2)}=√(74)\\AB=8.6`

Therefore, the distance between points A and B rounded to the nearest tenth is 8.6 units.